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Theoretical Studies of Nonlinear Generation Efficiency in a Bubble Layer

Baranowska A.

Archives of Acoustics

2012

Vol. 37, No. 3

287-294

The aim of the paper is a theoretical analysis of propagation of high-intensity acoustic waves throughout a bubble layer. A simple model in the form of a layer with uniformly distributed mono-size spherical bubbles is considered. The mathematical model of the pressure wave’s propagation in a bubbly liquid layer is constructed using the linear non-dissipative wave equation and assuming that oscillations of a single bubble satisfy the Rayleigh-Plesset equation. The models of the phase sound speed, changes of resonant frequency of bubbles and damping coefficients in a bubbly liquid are compared and discussed. The relations between transmitted and reflected waves and their second harmonic amplitudes are analyzed. A numerical analysis is carried out for different environmental parameters such as layer thicknesses and values of the volume fraction as well as for different parameters of generated signals. Examples of results of the numerical modeling are presented.

Modeling of nonlinear generation in a bubble layer

Baranowska A., Klusek Z.

Hydroacoustics

2009

Vol. 12

9-16

The paper presents a numerical approach to modelling the linear and nonlinear scattering at a layer of bubbles. Numerical studies of noncoherent scattering using a Monte Carlo method that can cope with various effects of propagation inside of a bubbles layer such as boundary reflections, scattering anisotropy, sound dispersion, sound attenuation and time dependence are performed. Based on Rayleigh-Plesset bubble's oscillation equation, the propagation and backscattering of signals at bubble population of different size spectra is analyzed. Propagated through the layer and backscattering changes in the signal spectra are studied and modeled according to the properties of bubble populations similar as in the sea.